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From the Jones polynomial to Khovanov-Rozansky homology via skew Howe duality

David Rose
(University of Southern California)
Wednesday, 30 July, 2014, at 15:15-16:15, in Aud. D3 (1531-215)
We'll show how the Kauffman bracket formulation of the Jones polynomial can be derived from the representation theory of quantum
sl_2 via skew Howe duality. Time permitting, we'll also discuss the extension to sl_n knot invariants, and how this picture categorifies to give an elementary description of Khovanov-Rozansky knot homology in terms of certain singular surfaces called foams.
Organised by: QGM
Contact person: Jørgen Ellegaard Andersen